Respuesta :

The equation of a line is y = mx + b  [m is the slope, b is the y-intercept or the y value when x = 0  ---->  (0, y) or the point where the line goes through the y-axis]

To find the slope, you use the slope formula (m):

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]           and plug in 2 points

I will use the points (0, 0) and (1, 8)

(0, 0)  ---->  (x₁, y₁)

(1, 8) ---->   (x₂, y₂)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

[tex]m=\frac{8-0}{1-0}[/tex]

m = 8

Since you know m, plug it into the equation.

y = 8x + b

The graph shows that the y-intercept is 0, so plug it into the equation

y = 8x